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The light bulb gives light be heating the filament. Roughly speaking, it is emitting black body radiation. Plank's Law gives you the formula.

See here:

http://en.wikipedia.org/wiki/Black_body

http://en.wikipedia.org/wiki/Planck's_law

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Q: How does the brightness of a light bulb relate to the wavelengths of light produced by the bulb?
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